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Finding the Fourth Proportional to 2,694.62, 4,041.90 and 746.75

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Solution

The fourth proportional to 2,694.62, 4,041.90 and 746.75 is: 1,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.62 : 4,041.90 = 746.75 : x
  2. Step 2: Convert to fraction form
    2,694.62/4,041.90 = 746.75/x
  3. Step 3: Cross multiply
    2,694.62x = 4,041.90 × 746.75
  4. Step 4: Simplify right side
    2,694.62x = 3,018,288.83
  5. Step 5: Solve for x
    x = 3,018,288.83/2,694.62
  6. Step 6: Final answer
    x = 1,120.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.